Pith Number

pith:2FJPIQUK

pith:2006:2FJPIQUKIKLNQ6XJXDCJ6LOSTP

not attested not anchored not stored refs pending

Mesoscopic structure conditions the emergence of cooperation on social networks

Alex Arenas, Angel Sanchez, Sergi Lozano

arxiv:physics/0612124 v2 · 2006-12-13 · physics.soc-ph · cond-mat.stat-mech · math-ph · math.GM · math.MP · nlin.AO · physics.comp-ph · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FJPIQUKIKLNQ6XJXDCJ6LOSTP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:07.959182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d152f4428a4296d87ae9b8c49f2dd29bd793bf8f13f06cc6a9d9eb2d764c33d7

Aliases

arxiv: physics/0612124 · arxiv_version: physics/0612124v2 · doi: 10.48550/arxiv.physics/0612124 · pith_short_12: 2FJPIQUKIKLN · pith_short_16: 2FJPIQUKIKLNQ6XJ · pith_short_8: 2FJPIQUK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2FJPIQUKIKLNQ6XJXDCJ6LOSTP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d152f4428a4296d87ae9b8c49f2dd29bd793bf8f13f06cc6a9d9eb2d764c33d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5c79fad4a39c598a02daa249514e09c129162cc32e7430a0acd84c3687deb4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.GM",
      "math.MP",
      "nlin.AO",
      "physics.comp-ph",
      "q-bio.PE"
    ],
    "license": "",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2006-12-13T10:10:11Z",
    "title_canon_sha256": "4ec4cd9f0e45bddcb616f778a6f905eb2c33b8790455fec03b5f1b3f7dfee042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0612124",
    "kind": "arxiv",
    "version": 2
  }
}